Title: Optimal management of a Markov queue with (Q, F)-policy subject to server breakdown in the banking sector

Authors: Nidhi; Sudeep Singh Sanga

Addresses: Department of Mathematics, SV National Institute of Technology, Gujarat, Surat – 395007, India ' Department of Mathematics, SV National Institute of Technology, Gujarat, Surat – 395007, India

Abstract: This paper delves into optimising the queue management of the banking sector, where customers come for debit and credit card issuance. During this process, there is a possibility of a card issuance machine (CIM) failure, which may disrupt the service flow. To analyse this process, we develop the unreliable M/M/1/N queueing model with (Q, F)-policy to understand the system dynamics. In response to the practical challenges encountered in the banking sector, the study adopts a single server queueing model, taking into account the balking of customers. To analyse the model, we formulate steady-state governing equations based on the transition rates of the system. We perform sensitivity analysis with a numerical illustration to understand the impact of various system characteristics on a bank's performance. To improve the efficiency of the banking system, we frame a cost function and apply particle swarm optimisation (PSO) to minimise the cost.

Keywords: banking sector; finite queue; (Q, F)-policy; balking; breakdown; cost; particle swarm optimisation; PSO.

DOI: 10.1504/IJAHUC.2025.148430

International Journal of Ad Hoc and Ubiquitous Computing, 2025 Vol.50 No.1, pp.35 - 45

Received: 06 Sep 2024
Accepted: 25 Feb 2025
Published online: 04 Sep 2025 *

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